The prism is bisected by the xz-plane. If P = (5, 2, 4), what is the area of the rectangle formed by the xz-plane, BP, EP, and D.

Q: b) Use the idea in part (a) to determine an explicit one-to-one correspondence between zt and the…

A: as you asked only the solution for (b) , the solution of the part (b) is given below...

Q: A nerd guitarist attempted to measure the auxiliary rectangle from the dips of his preloved electric…

A: The standard form of a hyperbola with the traverse axis on the x axis is x-h2a2-y-k2b2=1.  Here h,k…

Q: Find the area of the parallelogram with the vertices A(-5,–4), В(2, —4), С(4,4) and D(-3,4).

A:

Q: Given the equation (z - 13)+y? = 64, identify the center and radius. Do not enter any spaces when…

A: In this we have to tell the center and radius of circle.

Q: 3. Find the shortest distance between parallel planes 2x - 3y + z = 4 and 4x -6y + 2z = 5.

A: Given equation of planes: 2x-3y+z=4 and 4x-6y+2z=5. To find: Shortest distance between the parallel…

Q: Find the perimeter of the polygon with the vertices Q(−3, 2), R(1, 2),  S(1,−2),Q(−3, 2), R(1, 2),…

A: Perimeter of polygon = Sum of length of all sidesLet A(x1, y1) and B(x2, y2) . Then,   Length of…

Q: Find the center and radius of the circle x2 + y2 = 6y + 16.

A:

Q: Find the area of the parallelogram determined by v = (7, 0, 0) and w = (0,7, -3).

A: The step by step solution of the given problem is as follows:

Q: Find the distance between the planes 2x + 5y + 4z = 7 and 2x + 5y + 4z = = Question Help: Video 10.

A: We know that the distance between two parallel planes:ax+by+cz+d1=0andax+by+cz+d2=0 is given…

Q: Imagine a triangle △ABC where A(−53,−60,−49), B(−102,−98,−107), and C(3,6,5) is in 3D space. A point…

A:

Q: The vertices of APQR are P(0, 0), Q(- 6, 0), and R(-6, 6). Find the area of APQR.

A: Given:

Q: What value represents the approximate length of x, the distance from the center of the octagon to…

A: Answer is mentioned below

Q: Find the area of the largest rectangle that can be bounded by the x-axis and the parabola y = a -…

A: The given problem is to find the area of the largest rectangle that can be bounded by x-axis and the…

Q: Find the ration in which YZ -plane divides the line joining A(2,4,5) and B(3,5,-4) .Also find the…

A:

Q: (a) Find the area of the parallelogram with edges v(3,2) and w= = (1, 4).

A:

Q: How can we recognize if the two planes were parallel or not

A: Consider the vector equation of the two given planes as, r→·n1→=d1r→·n2→=d2 Here, n1→ and n2→ are…

Q: Find the area of a parallelogram PQRS, where P = (0, 0, 3), Q = (4,6,-4), R = (1, –4, −5) and S…

A: